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  1. Program Geometric Group Theory

    Organizers: Ian Agol (University of California, Berkeley), Mladen Bestvina (University of Utah), Cornelia Drutu (University of Oxford), LEAD Mark Feighn (Rutgers University), Michah Sageev (Technion---Israel Institute of Technology), Karen Vogtmann (University of Warwick)

    The field of geometric group theory emerged from Gromov’s insight that even mathematical objects such as groups, which are defined completely in algebraic terms, can be profitably viewed as geometric objects and studied with geometric techniques Contemporary geometric group theory has broadened its scope considerably, but retains this basic philosophy of reformulating in geometric terms problems from diverse areas of mathematics and then solving them with a variety of tools. The growing list of areas where this general approach has been successful includes low-dimensional topology, the theory of manifolds, algebraic topology, complex dynamics, combinatorial group theory, algebra, logic, the study of various classical families of groups, Riemannian geometry and representation theory.

    The goals of this MSRI program are to bring together people from the various branches of the field in order to consolidate recent progress, chart new directions, and train the next generation of geometric group theorists.

    Updated on Aug 11, 2016 08:44 AM PDT
  2. Program Complementary Program (2016-17)

    The Complementary Program has a limited number of memberships that are open to mathematicians whose interests are not closely related to the core programs; special consideration is given to mathematicians who are partners of an invited member of a core program. 

    Updated on Jun 07, 2016 12:46 PM PDT
  1. Seminar Common Lunch

    Created on Aug 25, 2016 01:49 PM PDT
  2. Seminar Math on YouTube

    Created on Sep 13, 2016 09:50 AM PDT
  3. Seminar Postdoc Seminar I

    Updated on Aug 26, 2016 09:25 AM PDT
  4. Seminar Postdoc Seminar II

    Created on Aug 26, 2016 09:32 AM PDT
  5. Seminar Common Lunch

    Created on Aug 25, 2016 01:50 PM PDT
  6. Seminar Postdoc Seminar I

    Created on Aug 26, 2016 09:26 AM PDT
  7. Seminar Postdoc Seminar II

    Created on Aug 26, 2016 09:32 AM PDT
  8. Seminar Member Seminar

    Created on Aug 25, 2016 02:00 PM PDT
  9. Seminar Common Lunch

    Created on Aug 25, 2016 01:50 PM PDT
  10. Seminar Postdoc Seminar I

    Created on Aug 26, 2016 09:34 AM PDT
  11. Seminar Postdoc Seminar II

    Created on Aug 26, 2016 09:33 AM PDT
  12. Seminar Member Seminar

    Created on Aug 25, 2016 02:01 PM PDT
  13. Seminar Common Lunch

    Created on Aug 25, 2016 01:52 PM PDT
  14. Seminar Member Seminar

    Created on Aug 25, 2016 02:01 PM PDT
  15. Seminar Common Lunch

    Created on Aug 25, 2016 01:53 PM PDT
  16. Seminar Postdoc Seminar II

    Created on Aug 26, 2016 09:34 AM PDT
  17. Seminar Postdoc Seminar I

    Created on Aug 26, 2016 09:26 AM PDT
  18. Workshop Amenability, coarse embeddability and fixed point properties

    Organizers: Goulnara Arzhantseva (University of Vienna), LEAD Cornelia Drutu (University of Oxford), Graham Niblo (University of Southampton), Piotr Nowak (Polish Academy of Sciences)

    The main theme of the workshop is the spectrum of analytic properties running from Kazhdan's property (T) at one end to von Neumann's amenability at the other, that forms a foundational organizing structure for infinite groups and spaces. These properties can be described both analytically, via unitary representation theory, and geometrically, using embedding properties for discrete spaces. Connections with probability and combinatorics will likewise be addressed during the meeting.

    Updated on Aug 24, 2016 02:59 PM PDT
  19. Workshop Insect Navigation

    Organizers: Larry Abbott (Columbia University), David Eisenbud (MSRI - Mathematical Sciences Research Institute), Mimi Koehl (University of California, Berkeley)

    A 3-day joint workshop of MSRI and Janelia Research Campus of the Howard Hughes Medical Institute

    Navigation in flies, mosquitos and ants is an interesting scientific problem that has considerable societal importance because of their role as disease vectors. This meeting will address two important aspects of navigation: 1) how are locations and orientations in space computed, represented and used in the insect brain, and 2) how do interactions between an organism and its environment affect its ability to navigate.

    Updated on Oct 05, 2016 04:30 PM PDT
  20. Program Analytic Number Theory

    Organizers: Chantal David (Concordia University), Andrew Granville (Université de Montréal), Emmanuel Kowalski (ETH Zuerich), Philippe Michel (Ecole Polytechnique Federale de Lausanne), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)

    Analytic number theory, and its applications and interactions, are currently experiencing intensive progress, in sometimes unexpected directions. In recent years, many important classical questions have seen spectacular advances based on new techniques; conversely, methods developed in analytic number theory have led to the solution of striking problems in other fields.

    This program will not only give the leading researchers in the area further opportunities to work together, but more importantly give young people the occasion to learn about these topics, and to give them the tools to achieve the next breakthroughs.

    Updated on Jul 10, 2015 03:54 PM PDT
  21. Program Harmonic Analysis

    Organizers: LEAD Michael Christ (University of California, Berkeley), Allan Greenleaf (University of Rochester), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

    The field of Harmonic Analysis dates back to the 19th century, and has its roots in the study of the decomposition of functions using Fourier series and the Fourier transform.  In recent decades, the subject has undergone a rapid diversification and expansion, though the decomposition of functions and operators into simpler parts remains a central tool and theme.  
    This program will bring together researchers representing the breadth of modern Harmonic Analysis and will seek to capitalize on and continue recent progress in four major directions:
         -Restriction, Kakeya, and Geometric Incidence Problems
         -Analysis on Nonhomogeneous Spaces
         -Weighted Norm Inequalities
         -Quantitative Rectifiability and Elliptic PDE.
    Many of these areas draw techniques from or have applications to other fields of mathematics, such as analytic number theory, partial differential equations, combinatorics, and geometric measure theory.  In particular, we expect a lively interaction with the concurrent program.  

    Updated on Aug 11, 2016 10:49 AM PDT
  22. Workshop Connections for Women: Harmonic Analysis

    Organizers: Svitlana Mayboroda (University of Minnesota, Twin Cities), LEAD Betsy Stovall (University of Wisconsin-Madison)

    This workshop will highlight the work of several prominent women working in harmonic analysis, including some of the field's rising stars.  There will also be a panel discussion.  There will also be a contributed poster session.  This workshop is open to, and poster contributions are welcome from all mathematicians.


    Updated on Sep 12, 2016 03:51 PM PDT
  23. Workshop Introductory Workshop: Harmonic Analysis

    Organizers: Allan Greenleaf (University of Rochester), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

    This week-long workshop will serve as an introduction for graduate students, postdocs, and other researchers to the main themes of the program.  It will feature accessible talks by a number of leading harmonic analysts, including several short courses on the core ideas and techniques in the field.  There will also be a problem session, to which all participants are encouraged to contribute. 

    Updated on Aug 26, 2016 08:54 AM PDT
  24. Workshop Connections for Women: Analytic Number Theory

    Organizers: LEAD Chantal David (Concordia University), Kaisa Matomäki (University of Turku), Lillian Pierce (Duke University), Kannan Soundararajan (Stanford University), Terence Tao (University of California, Los Angeles)

    This workshop will consist of lectures on the current state of research in analytic number theory, given by prominent women and men in the field.  The workshop is open to all graduate students, post-docs, and researchers in areas related to the program; it will also include a panel discussion session among female researchers on career issues, as well as other social events

    Updated on Aug 30, 2016 09:42 AM PDT
  25. Workshop Introductory Workshop: Analytic Number Theory

    Organizers: Andrew Granville (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zuerich), Kaisa Matomäki (University of Turku), Philippe Michel (Ecole Polytechnique Federale de Lausanne)

    The introductory workshop will present, through short minicourses and introductory lectures, the main topics that will be the subject of much of the Analytic Number Theory Programme at MSRI. These topics include the theory of multiplicative functions, the theory of modular forms and L-functions, the circle method, sieve methods, and the theory of exponential sums over finite fields

    Updated on Aug 03, 2016 04:30 PM PDT
  26. Workshop Hot Topics: Galois Theory of Periods and Applications

    Organizers: LEAD Francis Brown (University of Oxford), Clément Dupont (Université de Montpellier), Richard Hain (Duke University), Vadim Vologodsky (University of Oregon)

    Periods are integrals of algebraic differential forms over algebraically-defined domains and are ubiquitous in mathematics and physics. A deep idea, originating with Grothendieck, is that there should be a Galois theory of periods. This general principle provides a unifying approach to several problems in the theory of motives, quantum groups and geometric group theory.  This conference will bring together leading experts around this subject and cover topics such as the theory of multiple zeta values, modular forms, and motivic fundamental groups.

    Updated on Oct 18, 2016 10:26 AM PDT
  27. Workshop Recent developments in Analytic Number Theory

    Organizers: Tim Browning (University of Bristol), Chantal David (Concordia University), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)

    This workshop will be focused on presenting the latest developments in analytic number theory, including (but not restricted to) recent advances in sieve theory, multiplicative number theory, exponential sums, arithmetic statistics, estimates on automorphic forms, and the Hardy-Littlewood circle method.

    Updated on Sep 12, 2016 08:39 AM PDT
  28. Workshop Recent Developments in Harmonic Analysis

    Organizers: Michael Christ (University of California, Berkeley), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

    Topics for this workshop will be drawn from the main research directions of this conference, including:
    (1) Restriction, Kakeya, and geometric incidence problems 
    (2) Analysis on nonhomogenous spaces
    (3) Weighted estimates
    (4) Quantitative rectifiability and other topics in PDE

    Updated on Aug 11, 2016 08:48 AM PDT
  29. Summer Graduate School Commutative Algebra and Related Topics

    Organizers: LEAD Shihoko Ishii (Tokyo Woman's Christian University), Kazuhiko Kurano (Meiji University), Ken-ichi Yoshida (Nihon University)

    The purpose of the school will be to introduce graduate students to foundational results in commutative algebra, with particular emphasis of the diversity of the related topics with commutative algebra. Some of these topics are developing remarkably in this decade and through learning those subjects the graduate students will be stimulated toward future research. 

    Updated on Sep 30, 2016 07:10 PM PDT
  30. Summer Graduate School Subfactors: planar algebras, quantum symmetries, and random matrices

    Organizers: LEAD Scott Morrison (Australian National University), Emily Peters (Loyola University), Noah Snyder (Columbia University)

    Subfactor theory is a subject from operator algebras, with many surprising connections to other areas of mathematics. This summer school will be devoted to understanding the representation theory of subfactors, with a particular emphasis on connections to quantum symmetries, fusion categories, planar algebras, and random matrices

    Updated on Aug 12, 2016 09:16 AM PDT
  31. MSRI-UP MSRI-UP 2017: Solving Systems of Polynomial Equations

    Organizers: LEAD Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Herbert Medina (Loyola Marymount University), Suzanne Weekes (Worcester Polytechnic Institute)

    The MSRI-UP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.
    In 2017, MSRI-UP will focus on Solving Systems of Polynomial Equations, a topic at the heart of almost every computational problem in the physical and life sciences. We will pay special attention to complexity issues, highlighting connections with tropical geometry, number theory, and the P vs. NP problem. The research program will be led by Prof. J. Maurice Rojas of Texas A&M University.
    Students who have had a linear algebra course and a course in which they have had to write proofs are eligible to apply. Due to funding restrictions, only U.S. citizens and permanent residents may apply regardless of funding. Members of underrepresented groups are especially encouraged to apply.

    Updated on Sep 30, 2016 06:53 PM PDT
  32. Summer Graduate School Soergel Bimodules

    Organizers: LEAD Benjamin Elias (University of Oregon), Geordie Williamson (Max-Planck-Institut für Mathematik)

    We will give an introduction to categorical representation theory, focusing on the example of Soergel bimodules, which is a categorification of the Iwahori-Hecke algebra. We will give a comprehensive introduction to the "tool box" of modern (higher) representation theory: diagrammatics, homotopy categories, categorical diagonalization, module categories, Drinfeld center, algebraic Hodge theory.

    Updated on Aug 18, 2016 04:30 PM PDT
  33. Summer Graduate School Positivity Questions in Geometric Combinatorics

    Organizers: Eran Nevo (Hebrew University), Raman Sanyal (Freie Universität Berlin)

    McMullen’s g-Conjecture from 1970 is a shining example of mathematical foresight that combined all results available at that time to conjure a complete characterization of face numbers of convex simple/simplicial polytopes. The key statement in its verification is that certain combinatorial numbers associated to geometric (or topological) objects are non-negative. The aim of this workshop is to introduce graduate students to selected contemporary topics in geometric combinatorics with an emphasis on positivity questions. It is fascinating that the dual notions of simple and simplicial polytopes lead to different but equally powerful algebraic frameworks to treat such questions. A key feature of the lectures will be the simultaneous development of these algebraic frameworks from complementary perspectives: combinatorial-topological and convex-geometric.  General concepts (such as Lefschetz elements, Hodge–Riemann–Minkowski inequalities) will be developed side-by-side, and analogies will be drawn to concepts in algebraic geometry, Fourier analysis, rigidity theory and measure theory. This allows for entry points for students with varying backgrounds.  The courses will be supplemented with guest lectures highlighting further connections to other fields.

    Updated on Aug 18, 2016 04:35 PM PDT
  34. Summer Graduate School Séminaire de Mathématiques Supérieures 2017: Contemporary Dynamical Systems

    Organizers: Sylvain Crovisier (Université de Paris VI (Pierre et Marie Curie)-Université de Paris XI (Paris-Sud)), LEAD Konstantin Khanin (University of Toronto), Andrés Navas Flores (University of Santiago de Chile), Christiane Rousseau (Université de Montréal), Marcelo Viana (Institute of Pure and Applied Mathematics (IMPA)), Amie Wilkinson (University of Chicago)

    The theory of dynamical systems has witnessed very significant developments in the last decades, includi​n​g the work of two 2014 Fields medalists, Artur Avila and Maryam Mirzakhani. ​The school will concentrate on the recent significant developments in the field of dynamical systems and present some of the present main streams of research. Two central themes will be those of partial hyperbolicity on one side, and rigidity, group actions and renormalization on the other side.​ ​Other themes will ​include homogeneous dynamics and geometry and dynamics on infinitely flat surfaces (both providing connections to the work of Maryam Mirzakhani), topological dynamics, thermodynamical formalism, singularities and bifurcations in analytic dynamical systems.  

    Updated on Aug 17, 2016 03:34 PM PDT
  35. Summer Graduate School Nonlinear dispersive PDE, quantum many particle systems and the world between

    Organizers: Natasa Pavlovic (University of Texas), Nikolaos Tzirakis (University of Illinois at Urbana-Champaign)

    The purpose of the summer school is to introduce graduate students to the recent developments in the area of dispersive partial differential equations (PDE), which have received a great deal of attention from mathematicians, in part due to ubiquitous applications to nonlinear optics, water wave theory and plasma physics.

    Recently remarkable progress has been made in understanding existence and uniqueness of solutions to nonlinear Schrodinger (NLS) and KdV equations, and properties of those solutions. We will outline the basic tools that were developed to address these questions. Also we will present some of recent results on derivation of NLS equations from quantum many particle systems and will discuss how methods developed to study the NLS can be
    relevant in the context of the derivation of this nonlinear equation.

    Updated on Sep 12, 2016 04:14 PM PDT
  36. Summer Graduate School Automorphic Forms and the Langlands Program

    Organizers: LEAD Kevin Buzzard (Imperial College, London)

    The summer school will be an introduction to the more algebraic aspects of the theory of automorphic forms and representations. One of the goals will be to understand the statements of the main conjectures in the Langlands programme. Another will be to gain a good working understanding of the fundamental definitions in the theory, such as principal series representations, the Satake isomorphism, and of course automorphic forms and representations for groups such as GL_n and its inner forms.

    Updated on Sep 02, 2016 11:36 AM PDT
  37. Program Geometric and Topological Combinatorics

    Organizers: Jesus De Loera (University of California, Davis), Vic Reiner (University of Minnesota Twin Cities), LEAD Francisco Santos (University of Cantabria), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington), Günter M. Ziegler (Freie Universität Berlin)

    Combinatorics is one of the fastest growing areas in contemporary Mathematics, and much of this growth is due to the connections and interactions with other areas of Mathematics. This program is devoted to the very vibrant and active area of interaction between Combinatorics with Geometry and Topology. That is, we focus on (1) the study of the combinatorial properties or structure of geometric and topological objects and (2) the development of geometric and topological techniques to answer combinatorial problems.

    Key examples of geometric objects with intricate combinatorial structure are point configurations and matroids, hyperplane and subspace arrangements, polytopes and polyhedra, lattices, convex bodies, and sphere packings. Examples of topology in action answering combinatorial challenges are the by now classical Lovász’s solution of the Kneser conjecture, which yielded functorial approaches to graph coloring, and the  more recent, extensive topological machinery leading to breakthroughs on Tverberg-type problems.

    Updated on Jul 05, 2016 08:46 AM PDT
  38. Program Geometric Functional Analysis and Applications

    Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Marianna Csornyei (University of Chicago), Boaz Klartag (Tel Aviv University), Alexander Koldobsky (University of Missouri), Rafal Latala (University of Warsaw), LEAD Mark Rudelson (University of Michigan)

    Geometric functional analysis lies at the interface of convex geometry, functional analysis and probability. It has numerous applications ranging from geometry of numbers and random matrices in pure mathematics to geometric tomography and signal processing in engineering and numerical optimization and learning theory in computer science.

    One of the directions of the program is classical convex geometry, with emphasis on connections with geometric tomography, the study of geometric properties of convex bodies based on information about their sections and projections. Methods of harmonic analysis play an important role here. A closely related direction is asymptotic geometric analysis studying geometric properties of high dimensional objects and normed spaces, especially asymptotics of their quantitative parameters as dimension tends to infinity. The main tools here are concentration of measure and related probabilistic results. Ideas developed in geometric functional analysis have led to progress in several areas of applied mathematics and computer science, including compressed sensing and random matrix methods. These applications as well as the problems coming from computer science will be also emphasised in our program.

    Updated on Jun 02, 2015 01:17 PM PDT
  39. Workshop Introductory Workshop: phenomena in high dimensions

    Organizers: Alexander Koldobsky (University of Missouri), Michel Ledoux (University of Toulouse), Monika Ludwig (Technische Universität Wien), Alain Pajor (Université de Paris Est Marne-la-Vallée), Stanislaw Szarek (Case Western Reserve University), LEAD Roman Vershynin (University of Michigan)

    This workshop will consist of several short courses related to high dimensional convex geometry, high dimensional probability, and applications in data science. The lectures will be accessible for graduate students.

    Updated on Oct 11, 2016 09:56 AM PDT
  40. Workshop Connections for Women Workshop: Geometric and Topological Combinatorics

    Organizers: Federico Ardila (San Francisco State University), Margaret Bayer (University of Kansas), Francisco Santos (University of Cantabria), LEAD Cynthia Vinzant (North Carolina State University)

    This workshop will feature lectures on a variety of topics in geometric and topological combinatorics, given by prominent women and men in the field. It precedes the introductory workshop and will preview the major research themes of the semester program. There will be a panel discussion focusing on issues particularly relevant to junior researchers, women, and minorities, as well as other social events. This workshop is open to all mathematicians.

    Updated on Sep 22, 2016 04:38 PM PDT
  41. Workshop Introductory Workshop: Geometric and Topological Combinatorics

    Organizers: Imre Barany (Hungarian Academy of Sciences (MTA)), Anders Björner (Royal Institute of Technology (KTH)), LEAD Ben Braun (University of Kentucky), Isabella Novik (University of Washington), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington)

    The introductory workshop will present the main topics that will be the subject of much of the Geometric and Topological Combinatorics Program at MSRI.  Key areas of interest are point configurations and matroids, hyperplane and subspace arrangements, polytopes and polyhedra, lattices, convex bodies, and sphere packings. This workshop will consist of introductory talks on a variety of topics, intended for a broad audience. 

    Updated on Aug 25, 2016 09:06 AM PDT
  42. Workshop Geometric and topological combinatorics: Modern techniques and methods

    Organizers: Patricia Hersh (North Carolina State University), LEAD Vic Reiner (University of Minnesota Twin Cities), Bernd Sturmfels (UC Berkeley Math Faculty), Frank Vallentin (Universität zu Köln), Günter M. Ziegler (Freie Universität Berlin)

    This workshop will focus on the interaction between Combinatorics, Geometry and Topology, including recent developments and techniques in areas such as 

    -- polytopes and cell complexes,
    -- simplicial complexes and higher order graph theory,
    -- methods from equivariant topology and configuration spaces,

    -- geometric combinatorics in optimization and social choice theory,
    -- algebraic and algebro-geometric methods.

    Updated on Aug 05, 2016 10:20 AM PDT
  43. Workshop Geometric functional analysis and applications

    Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Rafal Latala (University of Warsaw), Emanuel Milman (Technion---Israel Institute of Technology), Assaf Naor (Princeton University), LEAD Gideon Schechtman (Weizmann Institute of Science)

    This is the main workshop of the program "Geometric functional analysis and applications". It will focus on the main topics of the program. These include: Convex geometry, Asymptotic geometric analysis, Interaction with computer science, Signal processing, Random matrix theory and other aspects of Probability.

    Updated on Oct 06, 2016 11:02 AM PDT
  44. Workshop Women in Topology

    Organizers: Maria Basterra (University of New Hampshire), Kristine Bauer (University of Calgary), LEAD Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL)), Brenda Johnson (Union College--Union University)

    The Women in Topology (WIT) network is an international group of female mathematicians interested in homotopy theory whose main goal is to increase the retention of women in the field by providing both unique collaborative research opportunities and mentorship between colleagues.  The MSRI WIT meeting will be organized as an afternoon of short talks from participants, followed by two days of open problem seminars and working groups designed to stimulate new collaborations, as well as to strengthen those already ongoing among the participants

    Updated on Feb 22, 2016 09:27 AM PST
  45. Program Enumerative Geometry Beyond Numbers

    Organizers: Mina Aganagic (University of California, Berkeley), Denis Auroux (University of California, Berkeley), Jim Bryan (University of British Columbia), LEAD Andrei Okounkov (Columbia University), Balazs Szendroi (University of Oxford)

    Traditional enumerative geometry asks certain questions to which the expected answer is a number: for instance, the number of lines incident with two points in the plane (1, Euclid), or the number of twisted cubic curves on a quintic threefold (317 206 375). It has however been recognized for some time that the numerics is often just the tip of the iceberg: a deeper exploration reveals interesting geometric, topological, representation-, or knot-theoretic structures. This semester-long program will be devoted to these hidden structures behind enumerative invariants, concentrating on the core fields where these questions start: algebraic and symplectic geometry.

    Updated on Oct 12, 2015 03:39 PM PDT
  46. Program Group Representation Theory and Applications

    Organizers: Robert Guralnick (University of Southern California), Alexander (Sasha) Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), Julia Pevtsova (University of Washington), Raphael Rouquier (University of California, Los Angeles), LEAD Pham Tiep (University of Arizona)

    Group Representation Theory is a central area of Algebra, with important and deep connections to areas as varied as topology, algebraic geometry, number theory, Lie theory, homological algebra, and mathematical physics. Born more than a century ago, the area still abounds with basic problems and fundamental conjectures, some of which have been open for over five decades. Very recent breakthroughs have led to the hope that some of these conjectures can finally be settled. In turn, recent results in group representation theory have helped achieve substantial progress in a vast number of applications.

    The goal of the program is to investigate all these deep problems and the wealth of new results and directions, to obtain major progress in the area, and to explore further applications of group representation theory to other branches of mathematics.

    Updated on Mar 16, 2016 01:25 PM PDT
  47. Workshop Connections for Women: Group Representation Theory and Applications

    Organizers: Karin Erdmann (University of Oxford), Julia Pevtsova (University of Washington)

    This intensive three day workshop will introduce graduate students and recent PhD’s to some current topics of research in Representation Theory. It will consists of a mixture of survey talks on the hot topics in the area given by leading experts and research talks by junior mathematicians covering subjects such as new developments in character theory, group cohomology, representations of Lie algebras and algebraic groups, geometric representation theory, and categorification. 

    Updated on Aug 17, 2016 03:46 PM PDT
  48. Workshop Representations of Finite and Algebraic Groups

    Organizers: Robert Guralnick (University of Southern California), Alexander (Sasha) Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), LEAD Pham Tiep (University of Arizona)

    The workshop will bring together key researchers working in various areas of Group Representation Theory to strengthen the interaction and collaboration between them and to make further progress on a number of
    basic problems and conjectures in the field. Topics of the workshop include
    -- Global-local conjectures in the representation theory of finite groups
    -- Representations and cohomology of simple, algebraic and finite groups
    -- Connections to Lie theory and categorification, and
    -- Applications to group theory, number theory, algebraic geometry, and combinatorics.

    Updated on Aug 05, 2016 10:00 AM PDT
  49. Program Hamiltonian systems, from topology to applications through analysis

    Organizers: Rafael de la Llave (Georgia Institute of Technology), LEAD Albert Fathi (École Normale Supérieure de Lyon), Vadim Kaloshin (University of Maryland), Robert Littlejohn (University of California, Berkeley), Philip Morrison (University of Texas at Austin), Tere M. Seara (Universitat Politècnica de Catalunya), Serge Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)

    The interdisciplinary nature of Hamiltonian systems is deeply ingrained in its history. Therefore the program will bring together the communities of mathematicians with the community of practitioners, mainly engineers, physicists, and theoretical chemists who use Hamiltonian systems daily. The program will cover not only the mathematical aspects of Hamiltonian systems but also their applications, mainly in space mechanics, physics and chemistry.

    The mathematical aspects comprise celestial mechanics, variational methods, relations with PDE, Arnold diffusion and computation. The applications concern celestial mechanics, astrodynamics, motion of satellites, plasma physics, accelerator physics, theoretical chemistry, and atomic physics.

    The goal of the program is to bring to the forefront both the theoretical aspects and the applications, by making available for applications the latest theoretical developments, and also by nurturing the theoretical mathematical aspects with new problems that come from concrete problems of applications.

    Updated on Jul 25, 2016 04:30 PM PDT
  50. Program Derived Algebraic Geometry

    Organizers: Julie Bergner (University of Virginia), LEAD Bhargav Bhatt (University of Michigan), Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), Nikita Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Bertrand Toen (Centre National de la Recherche Scientifique (CNRS)), Gabriele Vezzosi (Università di Firenze)

    Derived algebraic geometry is an extension of algebraic geometry that provides a convenient framework for directly treating non-generic geometric situations (such as non-transverse intersections in intersection theory), in lieu of the more traditional perturbative approaches (such as the “moving” lemma). This direct approach, in addition to being conceptually satisfying, has the distinct advantage of preserving the symmetries of the situation, which makes it much more applicable. In particular, in recent years, such techniques have found applications in diverse areas of mathematics, ranging from arithmetic geometry, mathematical physics, geometric representation theory, and homotopy theory. This semester long program will be dedicated to exploring these directions further, and finding new connections.

    Updated on Mar 01, 2016 11:02 AM PST
  51. Program Birational Geometry and Moduli Spaces

    Organizers: Antonella Grassi (University of Pennsylvania), LEAD Christopher Hacon (University of Utah), Sándor Kovács (University of Washington), Mircea Mustaţă (University of Michigan), Martin Olsson (University of California, Berkeley)

    Birational Geometry and Moduli Spaces are two important areas of Algebraic Geometry that have recently witnessed a flurry of activity and substantial progress on many fundamental open questions. In this program we aim to  bring together key researchers in these and related areas to highlight the recent exciting progress and to explore future avenues of research.
    This program will focus on the following themes: Geometry and Derived Categories, Birational Algebraic Geometry, Moduli Spaces of Stable Varieties, Geometry in Characteristic p>0, and Applications of Algebraic Geometry: Elliptic Fibrations of Calabi-Yau Varieties in Geometry, Arithmetic and the Physics of String Theory

    Updated on Feb 29, 2016 02:50 PM PST

Past Scientific Events

  1. Seminar Common Lunch

    Created on Aug 25, 2016 01:48 PM PDT
  2. Seminar Common Lunch

    Created on Aug 25, 2016 01:47 PM PDT
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